Unemployment Rate vs. Non-Farm Payrolls

Hi! How do I interpret the situation where Unemployment Rate has [I]decreased[/I] while Non-Farm Payrolls is [I]negative[/I]? Does that mean that there are only layoffs (and no new employment) in nonfarm business establishments and government agencies and more employment in farms and government agencies?

Also, why is Non-Farm Payrolls considered to be more important indicator than Unemployment Rate?

// Such examples did exist. See, for example, data for February 1, 2008 and March 7, 2008 here on BabyPips (the Tools button).